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Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 163, 页码: 126-146
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载：151/0  |  提交时间：2021/04/26
Fractional optimal control problem  Numerical discretizations  Block two-by-two linear system  Preconditioning  Spectral bounds  Krylov subspace iteration methods  Convergence property  
Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces 期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 82, 期号: 4, 页码: 1251-1277
作者:  Bai, Zhong-Zhi;  Miao, Cun-Qiang
收藏  |  浏览/下载：129/0  |  提交时间：2020/05/24
Hermitian eigenproblem  Krylov subspace method  Inexact iteration  Convergence property  
On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems 期刊论文
APPLIED MATHEMATICS LETTERS, 2017, 卷号: 72, 页码: 23-28
作者:  Bai, Zhong-Zhi;  Miao, Cun-Qiang
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
Hermitian eigenproblem  Jacobi-Davidson method  Inexact iteration  Standard Krylov subspace iteration  Local convergence  
Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 卷号: 24, 期号: 4, 页码: 15
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya;  Pan, Jian-Yu
收藏  |  浏览/下载：156/0  |  提交时间：2018/07/30
convergence  Krylov subspace method  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  spectral analysis  
On local quadratic convergence of inexact simplified Jacobi-Davidson method 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 卷号: 520, 页码: 215-241
作者:  Bai, Zhong-Zhi;  Miao, Cun-Qiang
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
Hermitian eigenproblem  Jacobi-Davidson method  Inexact iteration  Standard Krylov subspace iteration  Local convergence  
A Filtered-Davidson Method for Large Symmetric Eigenvalue Problems 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2017, 卷号: 7, 期号: 1, 页码: 21-37
作者:  Miao, Cun-Qiang
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
Symmetric eigenproblem  filtering technique  Chebyshev polynomials  Krylov subspace  Davidson-type method  
An orthogonally accumulated projection method for symmetric linear system of equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 7, 页码: 1235-1248
作者:  Peng WuJian;  Lin Qun;  Zhang ShuHua
收藏  |  浏览/下载：90/0  |  提交时间：2018/07/30
iterative method  accumulated projection  conjugate gradient method  Krylov subspace  
A Non-Krylov Subspace Method for Solving Large and Sparse Linear System of Equations 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2016, 卷号: 9, 期号: 2, 页码: 289-314
作者:  Peng, Wujian;  Lin, Qun
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
Iterative method  accumulated projection  Krylov subspace  
Application of auxiliary space preconditioning in field-scale reservoir simulation 期刊论文
SCIENCE CHINA-MATHEMATICS, 2013, 卷号: 56, 期号: 12, 页码: 2737-2751
作者:  Hu XiaoZhe;  Xu JinChao;  Zhang ChenSong
收藏  |  浏览/下载：110/0  |  提交时间：2021/01/14
ITERATIVE METHODS  BLOCK  EQUATIONS  SYSTEMS  GRIDS  reservoir simulation  black-oil model  fully implicit method  auxiliary space preconditioning  algebraic multigrid method  Krylov subspace iterative method  
Comparative study on order-reduced methods for linear third-order ordinary differential equations 期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2012, 卷号: 7, 期号: 6, 页码: 1151-1168
作者:  Ren Zhiru
收藏  |  浏览/下载：97/0  |  提交时间：2021/01/14
PRECONDITIONED ITERATIVE METHODS  SYSTEMS  FLOWS  third-order ordinary differential equation  order-reduced method  sinc discretization  preconditioner  Krylov subspace method